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Finding the Fourth Proportional to 527,149, 727,464.54 and 285,431.50

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Solution

The fourth proportional to 527,149, 727,464.54 and 285,431.50 is: 393,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,149 : 727,464.54 = 285,431.50 : x
  2. Step 2: Convert to fraction form
    527,149/727,464.54 = 285,431.50/x
  3. Step 3: Cross multiply
    527,149x = 727,464.54 × 285,431.50
  4. Step 4: Simplify right side
    527,149x = 207,641,294,849.01
  5. Step 5: Solve for x
    x = 207,641,294,849.01/527,149
  6. Step 6: Final answer
    x = 393,894.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.